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Finding the Third Proportional to 21,002 and 45,307

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Solution

The third proportional to 21,002 and 45,307 is: 97,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002 : 45,307 = 45,307 : x
  2. Step 2: Convert to fraction form
    21,002/45,307 = 45,307/x
  3. Step 3: Cross multiply
    21,002x = 45,307 × 45,307
  4. Step 4: Simplify right side
    21,002x = 2,052,724,249
  5. Step 5: Solve for x
    x = 2,052,724,249/21,002
  6. Step 6: Final answer
    x = 97,739.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.